Finding the Third Proportional to 40,023 and 58,522.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,023 : 58,522.50 = 58,522.50 : x
2. Step 2: Convert to fraction form
   40,023/58,522.50 = 58,522.50/x
3. Step 3: Cross multiply
   40,023x = 58,522.50 × 58,522.50
4. Step 4: Simplify right side
   40,023x = 3,424,883,006.25
5. Step 5: Solve for x
   x = 3,424,883,006.25/40,023
6. Step 6: Final answer
   x = 85,572.87